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Finding the Fourth Proportional to 71,062.80, 106,574.70 and 26,686.20

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Solution

The fourth proportional to 71,062.80, 106,574.70 and 26,686.20 is: 40,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,062.80 : 106,574.70 = 26,686.20 : x
  2. Step 2: Convert to fraction form
    71,062.80/106,574.70 = 26,686.20/x
  3. Step 3: Cross multiply
    71,062.80x = 106,574.70 × 26,686.20
  4. Step 4: Simplify right side
    71,062.80x = 2,844,073,759.14
  5. Step 5: Solve for x
    x = 2,844,073,759.14/71,062.80
  6. Step 6: Final answer
    x = 40,021.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.